QUESTION 2 Consider the following system of linear equations x1 + 2x2 + 3x3 = 4 6x1 +4x2+2x3 = 12 2x1 + 2x2+2x3 = 5. [TO

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Question 2 Consider The Following System Of Linear Equations X1 2x2 3x3 4 6x1 4x2 2x3 12 2x1 2x2 2x3 5 To 1 (30.65 KiB) Viewed 12 times

QUESTION 2 Consider the following system of linear equations x1 + 2x2 + 3x3 = 4 6x1 +4x2+2x3 = 12 2x1 + 2x2+2x3 = 5. [TOTAL MARKS: 14] (a) Write down the augmented matrix associated with this system. [2 marks] (b) Use Gauss-Jordan elimination to show that this system has infinitely many solutions. [10 marks] (c) Describe the set of solutions from part (b) geometrically. MS200A, Semester Two 2021/22 [2 marks] Page 2 of 5